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Chamfered Cube


ChamferedCube

A chamfered cube, also inaccurately called a truncated rhombic dodecahedron or more accurately called a tetratruncated rhombic dodecahedron, is a polyhedron obtained by chamfering a cube. The illustration above shows increasing amounts of chamfering applied to the cube.

ChamferedCubeEquilateral

An equilateral chamfered cub may be constructed by appropriate choice of the edge length ratio for chamfering. The unit equilateral chamfered cube has surface area and volume

S=6+16sqrt(2+sqrt(3))
(1)
V=9+(52)/(3sqrt(3))
(2)

and is implemented in the Wolfram Language as PolyhedronData["EquilateralChamferedCube"].


See also

Chamfered Polyhedron, Cube

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References

McCooey, D. I. "Chamfered Cube." http://dmccooey.com/polyhedra/ChamferedCube1.html.

Cite this as:

Weisstein, Eric W. "Chamfered Cube." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ChamferedCube.html

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